A192228 Primes of the form (n+1)^6+(n+2)^6+(n+3)^6-666.

425783, 263145359, 744158711, 1805712959, 32484102023, 103206118583, 271979814143, 324434645039, 454854785303, 626321908703, 6944429711711, 21648847849679, 23586002145119

Offset

1,1

Comments

Sum of three consecutive numbers with exponent 6, the difference with 666 generate prime number of the form 3n^6 +36n^5 +210n^4 +720n^3 +1470n^2 +1656n +128.

Links

Table of n, a(n) for n=1..13.

Example

425783 = 6^6+7^6+8^6-666 and 744158711 = 24^6+25^6+26^6-666 are in the sequence.

Mathematica

lst={}; Do[If[PrimeQ[p=(n+1)^6+(n+2)^6+(n+3)^6-666], AppendTo[lst, p]], {n, 200}]; lst
Select[Total/@(Partition[Range[200], 3, 1]^6)-666, PrimeQ] (* Harvey P. Dale, Dec 14 2011 *)

Prog

(PARI) for(n=1, 1e3, if(isprime(k=(n+1)^6+(n+2)^6+(n+3)^6-666), print1(k", "))) \\ Charles R Greathouse IV, Jul 01 2011

Crossrefs

Sequence in context: A204412 A233499 A282337 * A234737 A206082 A209794

Adjacent sequences: A192225 A192226 A192227 * A192229 A192230 A192231

Keyword

nonn

Author

Rafael Parra Machio, Jun 26 2011

Status

approved